In this paper, we study the stability of a networked control system involving signal quantization with finitely many levels and a bounded number of consecutive packet-dropouts. To compensate for the effect of packet-dropouts, the controller-encoder sends a packet which contains possible quantized control inputs for finite future steps. At the receiving end, i.e., at the plant actuator side, a buffer decides the actuator input based on the received data. The buffer has memory which is overwritten whenever it receives a packet from the controller. Within this setting, we derive a sufficient condition on quantization parameters for achieving small ℓ∞ signal ℓ∞ stability of the feedback system. The stability condition is characterized in terms of the number of quantization levels of the quantizer.

Relation

2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10). Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (Annecy, France 13-14 September, 2010) p. 43-48